Characterization of m-quasi-Einstein structures in LP-Kenmotsu manifolds

Abstract

In this paper, we investigate $m$-quasi Einstein metrics on LP-Kenmotsu manifolds, a recently introduced class of Lorentzian paracontact metric manifolds. We derive the curvature identity associated with a closed $m$-quasi Einstein structure and classify LP-Kenmotsu manifolds admitting such metrics. It is shown that if the potential vector field is conformal, collinear with the unit timelike vector field, or a strict infinitesimal contact transformation, then the manifold is either Einstein or $\eta$-Einstein under suitable conditions. Furthermore, we prove that the scalar curvature of such manifolds is necessarily constant.